A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.
70 <= x <= 105
0 <= y <= 60
To represent the given real-world problem, we can write the following constraints:
1. Minimum temperature constraint: The lifeguard is only on duty when the temperature (x) is greater than or equal to 70 degrees. Therefore, the constraint can be written as: x ≥ 70.
2. Maximum temperature constraint: The lifeguard is only on duty when the temperature (x) is less than or equal to 105 degrees. Therefore, the constraint can be written as: x ≤ 105.
3. Maximum capacity constraint: The trip has room for 60 people. Therefore, the constraint can be written as: y ≤ 60.
Combining all the constraints, we get:
x ≥ 70
x ≤ 105
y ≤ 60